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In Friends section you can see last 9 friends. Then you can see all the friends of a user by clicking on the “See all friends” list, which must open in a floatbox. Also - there is an function to search within friends.
“Edit friends” functionality must open in floatbox, and there you can add users by searching through whole network.
You can invite a user to become your friend by visiting the particular user's profile and clicking “Invite friend” icon right below the user image.